Eur. Phys. J. Appl. Phys.
Volume 38, Number 1, April 2007
|Page(s)||97 - 105|
|Section||Physics and Mechanics of Fluids, Microfluidics|
|Published online||21 March 2007|
Fine grid numerical solutions of triangular cavity flow
Gebze Institute of Technology, Energy Systems Engineering
Department, Gebze, Kocaeli 41400, Turkey
2 Bahcesehir University, Computer Engineering Department, Besiktas, Istanbul 34349, Turkey
Corresponding author: firstname.lastname@example.org
Revised: 30 November 2006
Accepted: 2 February 2007
Published online: 21 March 2007
Numerical solutions of 2-D steady incompressible flow inside a triangular cavity are presented. For the purpose of comparing our results with several different triangular cavity studies with different triangle geometries, a general triangle mapped onto a computational domain is considered. The Navier-Stokes equations in general curvilinear coordinates in streamfunction and vorticity formulation are numerically solved. Using a very fine grid mesh, the triangular cavity flow is solved for high Reynolds numbers. The results are compared with the numerical solutions found in the literature and also with analytical solutions as well. Detailed results are presented.
PACS: 47.15.Rq – Laminar flows in cavities, channels, ducts, and conduits / 47.63.mc – High-Reynolds-number motions / 47.15.-x – Laminar flows
© EDP Sciences, 2007
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